Edit Profile (opens in new tab) Ayupov, Shavkat Abdullaevich Compute Distance To: Compute Author ID: ayupov.sh-a Published as: Ayupov, Sh. A.; Ayupov, Shavkat; Ayupov, Shavkat A.; Ayupov, Sh.; Ayupov, Shavkat Abdullaevich; Ayupov, Shavkat Abdullayevich; Ayupov, S. A. more...less Further Spellings: Аюпов Шавкат Абдуллаевич Homepage: https://twas.org/directory/ayupov-shavkat-abdullaevich External Links: MGP · ORCID · Google Scholar · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 187 Publications since 1974, including 4 Books 4 Contributions as Editor Reviewing Activity: 330 Reviews Co-Authors: 71 Co-Authors with 123 Joint Publications 983 Co-Co-Authors all top 5 Co-Authors 63 single-authored 39 Kudaĭbergenov, Karimbergen Kadirbergenovich 18 Albeverio, Sergio A. 15 Omirov, Bakhrom A. 7 Abdullaev, Rustam Z. 7 Arzikulov, Farhodjon Nematjonovich 6 Adizov, A. A. 6 Khudoyberdiyev, Abror Kh. 6 Sarymsakov, Tashmukhamed Alievich 5 Yadgorov, N. Zh. 4 Khadzhiev, Dzhavvat 4 Rakhimov, Abdugafur Abdumadjidovich 3 Abduvaitov, Adkham Khamdamovich 3 Alauadinov, Amir 3 Chilin, Vladimir Ivanovich 3 Rakhimov, Isamiddin Sattarovich 3 Usmanov, Shukhrat 3 Zaitov, Adilbek Atakhanovich 3 Zakirov, F. M. 3 Zhelyabin, Viktor Nikolaevich 2 Arzikulov, Farkhad Nematjonovich 2 Azamov, Nurulla A. 2 Beshimov, Gayrat 2 Dadakhodjaev, Rashidkhon A. 2 Djumamuratov, Rauaj T. 2 Iochum, Bruno 2 Tadzhibaev, B. R. 2 Umrzaqov, N. M. 2 Yusupov, Baxtiyor 1 Aksoy, Asuman Güven 1 Alauadinov, A. K. 1 Alimov, Akrom Akbarovich 1 Artikbaev, A. 1 Ashurov, Ravshan Rajabovich 1 Bekboev, U. 1 Berdikulov, M. A. 1 Camacho, Luisa Maria 1 Dadakhodjayev, R. A. 1 Dadakhodzhaev, R. A. 1 Ferleger, Sergei V. 1 Formanov, Shakir Kasimovich 1 Ganikhodjaev, Nasir Nabievich 1 Ganikhodzhaev, Rasul N. 1 Goldshtein, M. Sh. 1 Gol’dshtejn, M. Sh. 1 Goze, Michel 1 Kabulov, Vasil Kabulovich 1 Kalandarov, T. S. 1 Kalandarov, Turabay 1 Karimov, Khakimbek 1 Khakimdjanov, Yusupdjan Bakimdjanovich 1 Khalmatov, R. R. 1 Khudaĭberganov, Gulmirza Kh. 1 Kurbanbaev, Tuuelbay K. 1 Mukhamedkhanova, R. I. 1 Mukhamedov, Farruh Maksutovich 1 Muminov, Kh. Kh. 1 Musaev, D. K. 1 Nuriddinov, O. O. 1 Nurjanov, B. O. 1 Nurjanov, Berdakh 1 Pasynkov, Boris A. 1 Peralta, Antonio M. 1 Russo, Bernard 1 Ruziev, J. E. 1 Shermatova, Z. Kh. 1 Shoumkulov, B. A. 1 Sukochev, Fedor Anatol’evich 1 Tuĭchiev, T. T. 1 Turdibaev, Rustam Mirzalievich 1 Turgunbayev, R. M. 1 Umrzaqov, Sandorbek M. 1 Yadgorov, N. Dz. 1 Yadgorov, N. J. 1 Yusupov, B. B. 1 Yusupov, Bakhtiyor 1 Zakirov, B. S. 1 Zhao, Kaiming 1 Zhuraev, T. F. all top 5 Serials 21 Doklady Akademii Nauk UzSSR 18 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 8 Functional Analysis and its Applications 6 Linear Algebra and its Applications 5 Linear and Multilinear Algebra 5 Journal of Functional Analysis 5 Doklady Akademii Nauk Respubliki Uzbekistan. Matematika, Tekhnicheskie Nauki, Estestvoznanie 5 Lobachevskii Journal of Mathematics 4 Communications in Algebra 4 Mathematical Notes 4 Mathematics of the USSR. Izvestiya 4 Positivity 4 Uzbekskiĭ Matematicheskiĭ Zhurnal 4 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 4 Uzbek Mathematical Journal 3 Russian Mathematical Surveys 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Mathematische Zeitschrift 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Eurasian Mathematical Journal 2 Journal of Mathematical Analysis and Applications 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Soviet Mathematics. Doklady 2 Analele Universității din Craiova. Seria Matematică, Fizică-Chimie 2 International Journal of Algebra and Computation 2 Journal of Mathematical Sciences (New York) 2 Methods of Functional Analysis and Topology 2 Sbornik Nauchnykh Trudov 1 Matematicheskie Zametki 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 Commentationes Mathematicae Universitatis Carolinae 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal of Soviet Mathematics 1 Mathematica Scandinavica 1 Mathematica Slovaca 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Siberian Mathematical Journal 1 Topology and its Applications 1 Journal of Operator Theory 1 Acta Applicandae Mathematicae 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Voprosy Vychislitel’noĭ i Prikladnoĭ Matematiki 1 Journal of Lie Theory 1 Izvestiya: Mathematics 1 Algebras and Representation Theory 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Revista Matemática Complutense 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Contemporary Mathematics 1 Mathematics and its Applications (Dordrecht) 1 São Paulo Journal of Mathematical Sciences 1 TWMS Journal of Pure and Applied Mathematics 1 Annals of Functional Analysis 1 European Journal of Mathematics 1 Advances in Operator Theory all top 5 Fields 144 Functional analysis (46-XX) 93 Nonassociative rings and algebras (17-XX) 27 Operator theory (47-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 14 Associative rings and algebras (16-XX) 10 Probability theory and stochastic processes (60-XX) 7 General topology (54-XX) 5 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 701 times in 342 Documents Cited by ▼ Year ▼ On nilpotent and simple Leibniz algebras. Zbl 1065.17001Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A. 53 2005 On some classes of nilpotent Leibniz algebras. Zbl 1017.17002Ayupov, Sh. A.; Omirov, B. A. 52 2001 On Leibniz algebras. Zbl 0928.17001Ayupov, Sh. A.; Omirov, B. A. 42 1998 2-local derivations and automorphisms on \(B(H)\). Zbl 1275.47078Ayupov, Sh.; Kudaybergenov, K. 36 2012 2-local derivations on von Neumann algebras. Zbl 1344.46046Ayupov, Shavkat; Kudaybergenov, Karimbergen 32 2015 Structure of derivations on various algebras of measurable operators for type I von Neumann algebras. Zbl 1175.46054Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. 29 2009 2-local derivations on finite-dimensional Lie algebras. Zbl 1360.17021Ayupov, Shavkat; Kudaybergenov, Karimbergen; Rakhimov, Isamiddin 27 2015 A survey on local and 2-local derivations on \(C^*\)-algebras and von Neumann algebras. Zbl 1365.46059Ayupov, Shavkat; Kudaybergenov, Karimbergen; Peralta, Antonio M. 22 2016 Classification and representation of ordered Jordan algebras. (Классификации и представление упорядоченных Јордановых алгебр.) Zbl 0629.46045Ayupov, Sh. A. 19 1986 \(n\)-dimensional filiform Leibniz algebras of length \((n-1)\) and their derivations. Zbl 1208.17002Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Khudoyberdiyev, A. Kh. 18 2008 2-local derivations on semi-finite von Neumann algebras. Zbl 1296.46057Ayupov, Shavkat; Arzikulov, Farkhad 17 2014 Local derivations on algebras of measurable operators. Zbl 1230.46056Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.; Nurjanov, B. O. 16 2011 Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras. Zbl 1128.17001Albeverio, Sergio A.; Ayupov, Shavkat A.; Omirov, Bakhrom A. 16 2006 Local derivations on finite-dimensional Lie algebras. Zbl 1395.17032Ayupov, Shavkat; Kudaybergenov, Karimbergen 16 2016 Local and 2-local derivations on noncommutative Arens algebras. Zbl 1349.46071Ayupov, Shavkat; Kudaybergenov, Karimbergen; Nurjanov, Berdakh; Alauadinov, Amir 15 2014 Non-commutative Arens algebras and their derivations. Zbl 1138.46040Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. 15 2007 2-local automorphisms on finite-dimensional Lie algebras. Zbl 1382.17010Ayupov, Shavkat; Kudaybergenov, Karimbergen 13 2016 Additive derivations on algebras of measurable operators. Zbl 1263.46057Ayupov, Sh. A.; Kudaybergenov, K. K. 12 2012 Ordered algebras. (Uporyadochennye algebry). Zbl 0542.46001Sarymsakov, T. A.; Ayupov, Sh. A.; Khadzhiev, Dzh.; Chilin, V. I. 12 1983 The classification of filiform Leibniz superalgebras of nilindex \(n+m\). Zbl 1244.17002Ayupov, Sh. A.; Omirov, B. A.; Khudoyberdiyev, A. Kh. 10 2009 Derivations on algebras of measurable operators. Zbl 1203.46047Ayupov, Sh. A.; Kudaybergenov, K. K. 10 2010 Jordan, real and Lie structures in operator algebras. Zbl 0908.17022Ayupov, Shavkat; Rakhimov, Abdugafur; Usmanov, Shukhrat 9 1997 Derivations on algebras of measurable operators. Zbl 1005.46029Ayupov, Sh. A. 9 2000 Cartan subalgebras of Leibniz \(n\)-algebras. Zbl 1236.17004Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Turdibaev, R. M. 8 2009 Leibniz algebras associated with representations of filiform Lie algebras. Zbl 1368.17001Ayupov, Sh. A.; Camacho, L. M.; Khudoyberdiyev, A. Kh.; Omirov, B. A. 8 2015 On certain properties of the spaces of order-preserving functionals. Zbl 1163.46019Albeverio, S.; Ayupov, Sh. A.; Zaitov, A. A. 8 2008 2-local derivations on algebras of locally measurable operators. Zbl 1277.46030Ayupov, Shavkat Abdullaevich; Kudaybergenov, K. K.; Alauadinov, A. K. 8 2013 Extensions of traces and type criterions for Jordan algebras of self- adjoint operators. Zbl 0477.46056Ayupov, Sh. A. 7 1982 Local and 2-local derivations and automorphisms on simple Leibniz algebras. Zbl 1465.17004Ayupov, Shavkat; Kudaybergenov, Karimbergen; Omirov, Bakhrom 7 2020 Leibniz algebras. Structure and classification. Zbl 1426.17001Ayupov, Shavkat; Omirov, Bakhrom; Rakhimov, Isamiddin 7 2020 2-local derivations on associative and Jordan matrix rings over commutative rings. Zbl 1385.16042Ayupov, Shavkat; Arzikulov, Farhodjon 7 2017 Automorphisms of central extensions of type I von Neumann algebras. Zbl 1246.46058Albeverio, Sergio; Ayupov, Shavkat; Kudaybergenov, Karimbergen; Djumamuratov, Rauaj 6 2011 Derivations on the algebra of \(\tau\)-compact operators affiliated with a type I von Neumann algebra. Zbl 1155.46038Albeverio, Sergio; Ayupov, Shavkat A.; Kudaybergenov, Karimbergen K. 6 2008 Derivations, local, and 2-local derivations on algebras of measurable operators. Zbl 1365.46058Ayupov, Shavkat; Kudaybergenov, Karimbergen 6 2016 2-local derivations on matrix algebras over commutative regular algebras. Zbl 1321.47086Ayupov, Shavkat; Kudaybergenov, Karimbergen; Alauadinov, Amir 6 2013 Innerness of continuous derivations on algebras of measurable operators affiliated with finite von Neumann algebras. Zbl 1312.46062Ayupov, Shavkat; Kudaybergenov, Karimbergen 6 2013 2-local derivations of infinite-dimensional Lie algebras. Zbl 1465.17022Ayupov, Shavkat; Yusupov, Baxtiyor 5 2020 On the coincidence of types of a real \(AW^ *\)-algebra and its complexification. Zbl 1074.46042Albeverio, S.; Ayupov, Sh. A.; Abduvaitov, A. Kh. 4 2004 Spatiality of derivations on the algebra of \(\tau \)-compact operators. Zbl 1302.47053Ayupov, Shavkat; Kudaybergenov, Karimbergen 4 2013 On real \(AW^*\)-algebras. Zbl 1095.46031Albeverio, S.; Ayupov, Sh. A.; Abduvaitov, A. H. 4 2005 Traces on JW-algebras and enveloping \(W^ *\)-algebras. Zbl 0615.46057Ayupov, Shavkat A. 4 1987 Local derivations on solvable Lie algebras. Zbl 07356951Ayupov, Sh. A.; Khudoyberdiyev, A. Kh. 4 2021 2-local derivations on \(AW^*\)-algebras of type I. Zbl 1390.46062Ayupov, Sh.; Arzikulov, F. 4 2017 Commutators and Lie isomorphisms of skew elements in prime operator algebras. Zbl 0852.17019Ayupov, Sh. A.; Azamov, N. A. 3 1996 Description of finite dimensional nilpotent complex Leibniz algebras with maximal nilindex. Zbl 0974.17001Ayupov, Sh. A.; Omirov, B. A. 3 1999 Infinite dimensional central simple regular algebras with outer derivations. Zbl 1465.46068Ayupov, Sh.; Kudaybergenov, K. 3 2020 Jordan counterparts of Rickart and Baer \(^*\)-algebras. II. Zbl 1441.17025Ayupov, Shavkat; Arzikulov, Farhodjon 3 2019 Local automorphisms on finite-dimensional Lie and Leibniz algebras. Zbl 1422.17002Ayupov, Shavkat; Kudaybergenov, Karimbergen 2 2018 On center-valued traces on real operator algebras. Zbl 0810.46070Ayupov, Sh. A. 2 1992 Ring isomorphisms of Murray-von Neumann algebras. Zbl 1460.46047Ayupov, Shavkat; Kudaybergenov, Karimbergen 2 2021 The Radon-Nikodym theorem for weights on semifinite JBW-algebras. Zbl 0567.46036Ayupov, Shavkat A.; Abdullaev, Rustam Z. 2 1985 JW-factors and anti-automorphisms of von Neumann algebras. Zbl 0573.46042Ayupov, Sh. A. 2 1985 Skew commutators and Lie isomorphisms in real von Neumann algebras. Zbl 0903.46057Ayupov, Shavkat A. 2 1996 Partially ordered Jordan algebras. Zbl 0442.46037Sarymsakov, T. A.; Ayupov, Sh. A. 2 1979 The classification of 4-dimensional \(p\)-adic filiform Leibniz algebras. Zbl 1246.17004Ayupov, Sh. A.; Kurbanbaev, T. K. 2 2010 The properties of the compactness and completeness of topological spaces and continuous mappings. Ed. by Sh. A. Ayupov. (O svojstvakh kompaktnosti i polnoty topologicheskikh prostranstv i nepreryvnykh otobrazhenij.) Zbl 0940.54001Musaev, D. K.; Pasynkov, B. A. 2 1994 On the construction of Jordan algebras of selfadjoint operators. Zbl 0528.46046Ayupov, Sh. A. 2 1982 A new proof of the existence of traces on Jordan operator algebras and real von Neumann algebras. Zbl 0684.46055Ayupov, Shavkat A. 2 1989 Markov operators on quantum probability spaces. Zbl 0692.60087Ayupov, Sh. A.; Sarymsakov, T. A. 2 1987 Homogeneous Markov chains on semifields. Zbl 0487.60011Ayupov, Sh. A.; Sarymsakov, T. A. 2 1982 Ergodic theorems for Markov operators in Jordan algebras. I. Zbl 0497.46043Ayupov, Sh. A. 2 1982 Ergodic theorems for Markov operators in Jordan algebras. II. Zbl 0515.46067Ayupov, Sh. A. 2 1982 On partially ordered real involutory algebras. Zbl 1116.46038Albeverio, S.; Ayupov, Sh. A.; Dadakhodjayev, R. A. 2 2006 2-local automorphisms on \(AW^\ast \)-algebras. Zbl 1454.46055Ayupov, Shavkat; Kudaybergenov, Karimbergen; Kalandarov, Turabay 2 2019 Derivations of noncommutative Arens algebras. Zbl 1154.46040Ayupov, Sh. A.; Kudaybergenov, K. K. 2 2007 Integration on Jordan algebras. Zbl 0516.46044Ayupov, Sh. A. 2 1983 Functor of weakly additive \(\tau\)-smooth functionals and mappings. Zbl 1224.46055Ayupov, Sh. A.; Zaitov, A. A. 2 2009 2-local derivations on generalized Witt algebras. Zbl 1496.17016Ayupov, Shavkat; Kudaybergenov, Karimbergen; Yusupov, Baxtiyor 2 2021 An ergodic type theorem in Jordan algebras. Zbl 0461.46049Ayupov, Sh. A. 1 1980 Semisimple Leibniz algebras, their derivations and automorphisms. Zbl 1485.17007Ayupov, Shavkat; Kudaybergenov, Karimbergen; Omirov, Bakhrom; Zhao, Kaiming 1 2020 Local and 2-local derivations of solvable Leibniz algebras. Zbl 1485.17006Ayupov, Shavkat; Khudoyberdiyev, Abror; Yusupov, Bakhtiyor 1 2020 Locally measurable operators for JW-algebras and representation of ordered Jordan algebras. Zbl 0547.46042Ayupov, Sh. A. 1 1984 JW-factors and antiautomorphisms of von Neumann algebras. Zbl 0587.46057Ayupov, Sh. A. 1 1986 Real \(W^ *\)-algebras with an abelian Hermitian part. Zbl 1036.46045Ayupov, Sh.; Rakhimov, A. A.; Abduvaitov, A. Kh. 1 2002 Problems in probability theory on spaces with an order unit. Zbl 1299.46066Ayupov, Sh. A.; Berdikulov, M. A. 1 2005 Anti-automorphisms of factors and Lie operator algebras. Zbl 0831.46071Ayupov, Shavkat A. 1 1995 Isomorphism between the associative and non-associative \(L_ p\)-spaces of type \(\text{II}_ 1\) hyperfinite factors. Zbl 0865.46048Ayupov, Sh. A.; Ferleger, S. V.; Sukochev, F. A. 1 1996 Homomorphisms of a class of rings and two-valued measures on Boolean algebras. Zbl 0421.16024Ayupov, Sh. A. 1 1978 Real \(AW^{*}\)-algebras of type I. Zbl 1089.46036Ayupov, Sh. A. 1 2004 Algebra and operator theory. Proceedings of the colloquium, Tashkent, Uzbekistan, September 29–October 5, 1997. Zbl 0908.00015 1 1998 Order properties of Jordan Banach algebras. Zbl 0615.46044Ayupov, Sh. A.; Khalmatov, R. R. 1 1982 Types of Jordan algebras of self-adjoint operators and their enveloping von Neumann algebras. Zbl 0521.46059Ayupov, Sh. A. 1 1983 On the existence of a trace on a modular JW-factor. Zbl 0684.46056Ayupov, Sh. A. 1 1989 Locally measurable operators for HW-algebras and the representation of ordered Jordan algebras. Zbl 0604.46065Ayupov, Sh. A. 1 1985 Statistical ergodic theorems in Jordan algebras. Zbl 0493.47004Ayupov, Sh. A. 1 1981 Statistical ergodic theorems in Jordan algebras. Zbl 0511.47007Ayupov, Sh. A. 1 1981 Modular Jordan algebras of self-adjoint operators. Zbl 0515.46068Ayupov, Sh. A. 1 1982 On a certain class of operator algebras and their derivations. Zbl 1327.46060Ayupov, Sh. A.; Abdullaev, R. Z.; Kudaybergenov, K. K. 1 2014 Local derivations on measurable operators and commutativity. Zbl 1419.46044Ayupov, Shavkat; Kudaybergenov, Karimbergen 1 2016 Topologies on central extensions of von Neumann algebras. Zbl 1250.46039Ayupov, Shavkat A.; Kudaybergenov, Karimbergen K.; Djumamuratov, Rauaj T. 1 2012 Linearity of multiplicative mappings of Jordan Banach algebras. Zbl 0723.46046Ayupov, Sh. A.; Adizov, A. A. 1 1990 Complete systems of invariant of \(m\)-tuples for fundamental groups of the two-dimensional Euclidian space. Zbl 1488.14016Khadjiev, Djavvat; Ayupov, Shavkat; Beshimov, Gayrat 1 2020 Description of 2-local and local derivations on some Lie rings of skew-adjoint matrices. Zbl 1472.17062Ayupov, Sh. A.; Arzikulov, F. N. 1 2020 Innerness of derivations on subalgebras of measurable operators. Zbl 1173.46047Ayupov, Sh. A.; Kudaybergenov, K. K. 1 2008 2-local derivations on matrix algebras and algebras of measurable operators. Zbl 1458.46055Ayupov, Shavkat; Kudaybergenov, Karimbergen; Alauadinov, Amir 1 2017 Orlicz spaces associated with a semi-finite von Neumann algebra. Zbl 1274.46120Ayupov, Sh. A.; Chilin, V. I.; Abdullaev, R. Z. 1 2012 AW\(^*\)-algebras which are enveloping \(C^*\)-algebras of JC-algebras. Zbl 1271.46054Arzikulov, Farkhad Nematjonovich; Ayupov, Shavkat Abdullayevich 1 2013 Arens spaces associated with von Neumann algebras and normal states. Zbl 1200.46054Albeverio, S.; Ayupov, Sh. A.; Abdullaev, R. Z. 1 2010 Local derivations on solvable Lie algebras. Zbl 07356951Ayupov, Sh. A.; Khudoyberdiyev, A. Kh. 4 2021 Ring isomorphisms of Murray-von Neumann algebras. Zbl 1460.46047Ayupov, Shavkat; Kudaybergenov, Karimbergen 2 2021 2-local derivations on generalized Witt algebras. Zbl 1496.17016Ayupov, Shavkat; Kudaybergenov, Karimbergen; Yusupov, Baxtiyor 2 2021 Local and 2-local derivations and automorphisms on simple Leibniz algebras. Zbl 1465.17004Ayupov, Shavkat; Kudaybergenov, Karimbergen; Omirov, Bakhrom 7 2020 Leibniz algebras. Structure and classification. Zbl 1426.17001Ayupov, Shavkat; Omirov, Bakhrom; Rakhimov, Isamiddin 7 2020 2-local derivations of infinite-dimensional Lie algebras. Zbl 1465.17022Ayupov, Shavkat; Yusupov, Baxtiyor 5 2020 Infinite dimensional central simple regular algebras with outer derivations. Zbl 1465.46068Ayupov, Sh.; Kudaybergenov, K. 3 2020 Semisimple Leibniz algebras, their derivations and automorphisms. Zbl 1485.17007Ayupov, Shavkat; Kudaybergenov, Karimbergen; Omirov, Bakhrom; Zhao, Kaiming 1 2020 Local and 2-local derivations of solvable Leibniz algebras. Zbl 1485.17006Ayupov, Shavkat; Khudoyberdiyev, Abror; Yusupov, Bakhtiyor 1 2020 Complete systems of invariant of \(m\)-tuples for fundamental groups of the two-dimensional Euclidian space. Zbl 1488.14016Khadjiev, Djavvat; Ayupov, Shavkat; Beshimov, Gayrat 1 2020 Description of 2-local and local derivations on some Lie rings of skew-adjoint matrices. Zbl 1472.17062Ayupov, Sh. A.; Arzikulov, F. N. 1 2020 Jordan counterparts of Rickart and Baer \(^*\)-algebras. II. Zbl 1441.17025Ayupov, Shavkat; Arzikulov, Farhodjon 3 2019 2-local automorphisms on \(AW^\ast \)-algebras. Zbl 1454.46055Ayupov, Shavkat; Kudaybergenov, Karimbergen; Kalandarov, Turabay 2 2019 Local automorphisms on finite-dimensional Lie and Leibniz algebras. Zbl 1422.17002Ayupov, Shavkat; Kudaybergenov, Karimbergen 2 2018 2-local derivations on associative and Jordan matrix rings over commutative rings. Zbl 1385.16042Ayupov, Shavkat; Arzikulov, Farhodjon 7 2017 2-local derivations on \(AW^*\)-algebras of type I. Zbl 1390.46062Ayupov, Sh.; Arzikulov, F. 4 2017 2-local derivations on matrix algebras and algebras of measurable operators. Zbl 1458.46055Ayupov, Shavkat; Kudaybergenov, Karimbergen; Alauadinov, Amir 1 2017 A survey on local and 2-local derivations on \(C^*\)-algebras and von Neumann algebras. Zbl 1365.46059Ayupov, Shavkat; Kudaybergenov, Karimbergen; Peralta, Antonio M. 22 2016 Local derivations on finite-dimensional Lie algebras. Zbl 1395.17032Ayupov, Shavkat; Kudaybergenov, Karimbergen 16 2016 2-local automorphisms on finite-dimensional Lie algebras. Zbl 1382.17010Ayupov, Shavkat; Kudaybergenov, Karimbergen 13 2016 Derivations, local, and 2-local derivations on algebras of measurable operators. Zbl 1365.46058Ayupov, Shavkat; Kudaybergenov, Karimbergen 6 2016 Local derivations on measurable operators and commutativity. Zbl 1419.46044Ayupov, Shavkat; Kudaybergenov, Karimbergen 1 2016 2-local derivations on von Neumann algebras. Zbl 1344.46046Ayupov, Shavkat; Kudaybergenov, Karimbergen 32 2015 2-local derivations on finite-dimensional Lie algebras. Zbl 1360.17021Ayupov, Shavkat; Kudaybergenov, Karimbergen; Rakhimov, Isamiddin 27 2015 Leibniz algebras associated with representations of filiform Lie algebras. Zbl 1368.17001Ayupov, Sh. A.; Camacho, L. M.; Khudoyberdiyev, A. Kh.; Omirov, B. A. 8 2015 2-local derivations on semi-finite von Neumann algebras. Zbl 1296.46057Ayupov, Shavkat; Arzikulov, Farkhad 17 2014 Local and 2-local derivations on noncommutative Arens algebras. Zbl 1349.46071Ayupov, Shavkat; Kudaybergenov, Karimbergen; Nurjanov, Berdakh; Alauadinov, Amir 15 2014 On a certain class of operator algebras and their derivations. Zbl 1327.46060Ayupov, Sh. A.; Abdullaev, R. Z.; Kudaybergenov, K. K. 1 2014 2-local derivations on algebras of locally measurable operators. Zbl 1277.46030Ayupov, Shavkat Abdullaevich; Kudaybergenov, K. K.; Alauadinov, A. K. 8 2013 2-local derivations on matrix algebras over commutative regular algebras. Zbl 1321.47086Ayupov, Shavkat; Kudaybergenov, Karimbergen; Alauadinov, Amir 6 2013 Innerness of continuous derivations on algebras of measurable operators affiliated with finite von Neumann algebras. Zbl 1312.46062Ayupov, Shavkat; Kudaybergenov, Karimbergen 6 2013 Spatiality of derivations on the algebra of \(\tau \)-compact operators. Zbl 1302.47053Ayupov, Shavkat; Kudaybergenov, Karimbergen 4 2013 AW\(^*\)-algebras which are enveloping \(C^*\)-algebras of JC-algebras. Zbl 1271.46054Arzikulov, Farkhad Nematjonovich; Ayupov, Shavkat Abdullayevich 1 2013 2-local derivations and automorphisms on \(B(H)\). Zbl 1275.47078Ayupov, Sh.; Kudaybergenov, K. 36 2012 Additive derivations on algebras of measurable operators. Zbl 1263.46057Ayupov, Sh. A.; Kudaybergenov, K. K. 12 2012 Topologies on central extensions of von Neumann algebras. Zbl 1250.46039Ayupov, Shavkat A.; Kudaybergenov, Karimbergen K.; Djumamuratov, Rauaj T. 1 2012 Orlicz spaces associated with a semi-finite von Neumann algebra. Zbl 1274.46120Ayupov, Sh. A.; Chilin, V. I.; Abdullaev, R. Z. 1 2012 Local derivations on algebras of measurable operators. Zbl 1230.46056Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K.; Nurjanov, B. O. 16 2011 Automorphisms of central extensions of type I von Neumann algebras. Zbl 1246.46058Albeverio, Sergio; Ayupov, Shavkat; Kudaybergenov, Karimbergen; Djumamuratov, Rauaj 6 2011 Derivations on algebras of measurable operators. Zbl 1203.46047Ayupov, Sh. A.; Kudaybergenov, K. K. 10 2010 The classification of 4-dimensional \(p\)-adic filiform Leibniz algebras. Zbl 1246.17004Ayupov, Sh. A.; Kurbanbaev, T. K. 2 2010 Arens spaces associated with von Neumann algebras and normal states. Zbl 1200.46054Albeverio, S.; Ayupov, Sh. A.; Abdullaev, R. Z. 1 2010 Structure of derivations on various algebras of measurable operators for type I von Neumann algebras. Zbl 1175.46054Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. 29 2009 The classification of filiform Leibniz superalgebras of nilindex \(n+m\). Zbl 1244.17002Ayupov, Sh. A.; Omirov, B. A.; Khudoyberdiyev, A. Kh. 10 2009 Cartan subalgebras of Leibniz \(n\)-algebras. Zbl 1236.17004Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Turdibaev, R. M. 8 2009 Functor of weakly additive \(\tau\)-smooth functionals and mappings. Zbl 1224.46055Ayupov, Sh. A.; Zaitov, A. A. 2 2009 \(n\)-dimensional filiform Leibniz algebras of length \((n-1)\) and their derivations. Zbl 1208.17002Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A.; Khudoyberdiyev, A. Kh. 18 2008 On certain properties of the spaces of order-preserving functionals. Zbl 1163.46019Albeverio, S.; Ayupov, Sh. A.; Zaitov, A. A. 8 2008 Derivations on the algebra of \(\tau\)-compact operators affiliated with a type I von Neumann algebra. Zbl 1155.46038Albeverio, Sergio; Ayupov, Shavkat A.; Kudaybergenov, Karimbergen K. 6 2008 Innerness of derivations on subalgebras of measurable operators. Zbl 1173.46047Ayupov, Sh. A.; Kudaybergenov, K. K. 1 2008 Non-commutative Arens algebras and their derivations. Zbl 1138.46040Albeverio, S.; Ayupov, Sh. A.; Kudaybergenov, K. K. 15 2007 Derivations of noncommutative Arens algebras. Zbl 1154.46040Ayupov, Sh. A.; Kudaybergenov, K. K. 2 2007 Cartan subalgebras, weight spaces, and criterion of solvability of finite dimensional Leibniz algebras. Zbl 1128.17001Albeverio, Sergio A.; Ayupov, Shavkat A.; Omirov, Bakhrom A. 16 2006 On partially ordered real involutory algebras. Zbl 1116.46038Albeverio, S.; Ayupov, Sh. A.; Dadakhodjayev, R. A. 2 2006 On nilpotent and simple Leibniz algebras. Zbl 1065.17001Albeverio, S.; Ayupov, Sh. A.; Omirov, B. A. 53 2005 On real \(AW^*\)-algebras. Zbl 1095.46031Albeverio, S.; Ayupov, Sh. A.; Abduvaitov, A. H. 4 2005 Problems in probability theory on spaces with an order unit. Zbl 1299.46066Ayupov, Sh. A.; Berdikulov, M. A. 1 2005 On the coincidence of types of a real \(AW^ *\)-algebra and its complexification. Zbl 1074.46042Albeverio, S.; Ayupov, Sh. A.; Abduvaitov, A. Kh. 4 2004 Real \(AW^{*}\)-algebras of type I. Zbl 1089.46036Ayupov, Sh. A. 1 2004 Real \(W^ *\)-algebras with an abelian Hermitian part. Zbl 1036.46045Ayupov, Sh.; Rakhimov, A. A.; Abduvaitov, A. Kh. 1 2002 On some classes of nilpotent Leibniz algebras. Zbl 1017.17002Ayupov, Sh. A.; Omirov, B. A. 52 2001 Derivations on algebras of measurable operators. Zbl 1005.46029Ayupov, Sh. A. 9 2000 Description of finite dimensional nilpotent complex Leibniz algebras with maximal nilindex. Zbl 0974.17001Ayupov, Sh. A.; Omirov, B. A. 3 1999 On Leibniz algebras. Zbl 0928.17001Ayupov, Sh. A.; Omirov, B. A. 42 1998 Algebra and operator theory. Proceedings of the colloquium, Tashkent, Uzbekistan, September 29–October 5, 1997. Zbl 0908.00015 1 1998 Jordan, real and Lie structures in operator algebras. Zbl 0908.17022Ayupov, Shavkat; Rakhimov, Abdugafur; Usmanov, Shukhrat 9 1997 Commutators and Lie isomorphisms of skew elements in prime operator algebras. Zbl 0852.17019Ayupov, Sh. A.; Azamov, N. A. 3 1996 Skew commutators and Lie isomorphisms in real von Neumann algebras. Zbl 0903.46057Ayupov, Shavkat A. 2 1996 Isomorphism between the associative and non-associative \(L_ p\)-spaces of type \(\text{II}_ 1\) hyperfinite factors. Zbl 0865.46048Ayupov, Sh. A.; Ferleger, S. V.; Sukochev, F. A. 1 1996 Anti-automorphisms of factors and Lie operator algebras. Zbl 0831.46071Ayupov, Shavkat A. 1 1995 The properties of the compactness and completeness of topological spaces and continuous mappings. Ed. by Sh. A. Ayupov. (O svojstvakh kompaktnosti i polnoty topologicheskikh prostranstv i nepreryvnykh otobrazhenij.) Zbl 0940.54001Musaev, D. K.; Pasynkov, B. A. 2 1994 On center-valued traces on real operator algebras. Zbl 0810.46070Ayupov, Sh. A. 2 1992 Linearity of multiplicative mappings of Jordan Banach algebras. Zbl 0723.46046Ayupov, Sh. A.; Adizov, A. A. 1 1990 A new proof of the existence of traces on Jordan operator algebras and real von Neumann algebras. Zbl 0684.46055Ayupov, Shavkat A. 2 1989 On the existence of a trace on a modular JW-factor. Zbl 0684.46056Ayupov, Sh. A. 1 1989 Traces on JW-algebras and enveloping \(W^ *\)-algebras. Zbl 0615.46057Ayupov, Shavkat A. 4 1987 Markov operators on quantum probability spaces. Zbl 0692.60087Ayupov, Sh. A.; Sarymsakov, T. A. 2 1987 Classification and representation of ordered Jordan algebras. (Классификации и представление упорядоченных Јордановых алгебр.) Zbl 0629.46045Ayupov, Sh. A. 19 1986 JW-factors and antiautomorphisms of von Neumann algebras. Zbl 0587.46057Ayupov, Sh. A. 1 1986 The Radon-Nikodym theorem for weights on semifinite JBW-algebras. Zbl 0567.46036Ayupov, Shavkat A.; Abdullaev, Rustam Z. 2 1985 JW-factors and anti-automorphisms of von Neumann algebras. Zbl 0573.46042Ayupov, Sh. A. 2 1985 Locally measurable operators for HW-algebras and the representation of ordered Jordan algebras. Zbl 0604.46065Ayupov, Sh. A. 1 1985 Locally measurable operators for JW-algebras and representation of ordered Jordan algebras. Zbl 0547.46042Ayupov, Sh. A. 1 1984 Ordered algebras. (Uporyadochennye algebry). Zbl 0542.46001Sarymsakov, T. A.; Ayupov, Sh. A.; Khadzhiev, Dzh.; Chilin, V. I. 12 1983 Integration on Jordan algebras. Zbl 0516.46044Ayupov, Sh. A. 2 1983 Types of Jordan algebras of self-adjoint operators and their enveloping von Neumann algebras. Zbl 0521.46059Ayupov, Sh. A. 1 1983 Extensions of traces and type criterions for Jordan algebras of self- adjoint operators. Zbl 0477.46056Ayupov, Sh. A. 7 1982 On the construction of Jordan algebras of selfadjoint operators. Zbl 0528.46046Ayupov, Sh. A. 2 1982 Homogeneous Markov chains on semifields. Zbl 0487.60011Ayupov, Sh. A.; Sarymsakov, T. A. 2 1982 Ergodic theorems for Markov operators in Jordan algebras. I. Zbl 0497.46043Ayupov, Sh. A. 2 1982 Ergodic theorems for Markov operators in Jordan algebras. II. Zbl 0515.46067Ayupov, Sh. A. 2 1982 Order properties of Jordan Banach algebras. Zbl 0615.46044Ayupov, Sh. A.; Khalmatov, R. R. 1 1982 Modular Jordan algebras of self-adjoint operators. Zbl 0515.46068Ayupov, Sh. A. 1 1982 Statistical ergodic theorems in Jordan algebras. Zbl 0493.47004Ayupov, Sh. A. 1 1981 Statistical ergodic theorems in Jordan algebras. Zbl 0511.47007Ayupov, Sh. A. 1 1981 An ergodic type theorem in Jordan algebras. Zbl 0461.46049Ayupov, Sh. A. 1 1980 Partially ordered Jordan algebras. Zbl 0442.46037Sarymsakov, T. A.; Ayupov, Sh. A. 2 1979 Homomorphisms of a class of rings and two-valued measures on Boolean algebras. Zbl 0421.16024Ayupov, Sh. A. 1 1978 all cited Publications top 5 cited Publications all top 5 Cited by 310 Authors 54 Ayupov, Shavkat Abdullaevich 52 Omirov, Bakhrom A. 38 Kudaĭbergenov, Karimbergen Kadirbergenovich 27 Camacho, Luisa Maria 22 Khudoyberdiyev, Abror Kh. 17 Peralta, Antonio M. 15 Ladra González, Manuel 13 Ber, Aleksey Feliksovich 13 Calderón Martín, Antonio Jesús 12 Gómez, José R. 10 Albeverio, Sergio A. 10 Sánchez Delgado, José María 10 Sukochev, Fedor Anatol’evich 9 Arzikulov, Farhodjon Nematjonovich 8 Navarro, Rosa María 7 Casas Miras, José Manuel 7 Chilin, Vladimir Ivanovich 6 Bikchentaev, Aĭrat Midkhatovich 6 Fang, Xiaochun 6 Karimjanov, Ikboljon Abdulazizovich 6 Masutova, K. K. 6 Mukhamedov, Farruh Maksutovich 6 Rakhimov, Abdugafur Abdumadjidovich 6 Stitzinger, Ernest Lester 6 Yang, Bing 5 Cañete, Elisa M. 5 Li, Jiankui 5 Lu, Fangyan 5 McAlister, Allison 5 Niazi, Mohsen 5 Rakhimov, Isamiddin Sattarovich 4 Abdullaev, Rustam Z. 4 Barreiro, Elisabete 4 Chen, Liangyun 4 Kaygorodov, Ivan 4 Kurdachenko, Leonid Andriĭovych 4 Molnár, Lajos 4 Zhao, Kaiming 3 Albuquerque, Helena 3 Batten Ray, Chelsie 3 Fialowski, Alice 3 Foulis, David James 3 Garcés, Jorge José 3 Hamhalter, Jan 3 He, Jun 3 Hird, John T. 3 Huang, Wenbo 3 Kurbanbaev, Tuuelbay K. 3 Levitina, Galina Borisovna 3 Li, Lei 3 Mandal, Ashis 3 Miri, Mohammad Reza 3 Pulmannová, Sylvia 3 Shabanskaya, Anastasia 3 Turdibaev, Rustam Mirzalievich 3 Zhao, Xingpeng 2 Adashev, J. K. 2 Adashev, Jobir Q. 2 Adizov, A. A. 2 Alauadinov, Amir 2 Arzikulov, Farkhad Nematjonovich 2 Barnes, Donald W. 2 Beidar, Konstantin Igorevich 2 Benayadi, Saïd 2 Beshimov, Ruzinazar B. 2 Biyogmam, Guy Roger 2 Bosko-Dunbar, Lindsey 2 Bunce, Leslie J. 2 Burgos, María J. 2 Cao, Yan 2 Chebotar, Mikhail A. 2 Chen, Lin 2 Chen, Zhengxin 2 Demir, Ismail 2 Djabbarov, Gayratbay 2 Djumamuratov, Rauaj T. 2 Essaleh, Ahlem Ben Ali 2 Fernández-Polo, Francisco J. 2 Huang, Jinghao 2 Jamjoom, Fatmah Backer 2 Jordá, Enrique 2 Khalili, Zakiye 2 Klep, Igor 2 Kusraev, Anatoly Georgievich 2 Li, Changjing 2 Ma, Yao 2 Mamadaliev, Nodirbek K. 2 Mhamdi, Fahmi 2 Militaru, Gigel 2 Misra, Kailash C. 2 Mukherjee, Goutam 2 Navarro Izquierdo, Francisco J. 2 Pilabre, Nakelgbamba Boukary 2 Pypka, Alexsandr A. 2 Qian, Wenhua 2 Rikhsiboev, Ikrom M. 2 Russo, Bernard 2 Seĭpullaev, Zhumabek Khamudullaevich 2 Semko, Nikolaj N. 2 Stagg, Kristen ...and 210 more Authors all top 5 Cited in 102 Serials 26 Communications in Algebra 24 Linear Algebra and its Applications 18 Linear and Multilinear Algebra 17 Journal of Algebra 12 Algebras and Representation Theory 11 Mathematical Notes 11 Journal of Geometry and Physics 10 Bulletin of the Malaysian Mathematical Sciences Society. 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Komp’yuternye Nauki 1 Sahand Communications in Mathematical Analysis 1 Open Mathematics 1 Advances in Group Theory and Applications ...and 2 more Serials all top 5 Cited in 28 Fields 186 Nonassociative rings and algebras (17-XX) 139 Functional analysis (46-XX) 78 Operator theory (47-XX) 27 Associative rings and algebras (16-XX) 9 Quantum theory (81-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Category theory; homological algebra (18-XX) 6 Commutative algebra (13-XX) 6 Algebraic geometry (14-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 General topology (54-XX) 5 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year